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Finding the Fourth Proportional to 254.66, 381.72 and 218.48

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Solution

The fourth proportional to 254.66, 381.72 and 218.48 is: 327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.66 : 381.72 = 218.48 : x
  2. Step 2: Convert to fraction form
    254.66/381.72 = 218.48/x
  3. Step 3: Cross multiply
    254.66x = 381.72 × 218.48
  4. Step 4: Simplify right side
    254.66x = 83,398.19
  5. Step 5: Solve for x
    x = 83,398.19/254.66
  6. Step 6: Final answer
    x = 327.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.